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Finding the Fourth Proportional to 3,196.74, 4,791.92 and 2,154.27

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Solution

The fourth proportional to 3,196.74, 4,791.92 and 2,154.27 is: 3,229.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.74 : 4,791.92 = 2,154.27 : x
  2. Step 2: Convert to fraction form
    3,196.74/4,791.92 = 2,154.27/x
  3. Step 3: Cross multiply
    3,196.74x = 4,791.92 × 2,154.27
  4. Step 4: Simplify right side
    3,196.74x = 10,323,089.50
  5. Step 5: Solve for x
    x = 10,323,089.50/3,196.74
  6. Step 6: Final answer
    x = 3,229.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.